What is the Least Common Multiple of 56814 and 56820?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 56814 and 56820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56814 and 56820, than apply into the LCM equation.

GCF(56814,56820) = 6
LCM(56814,56820) = ( 56814 × 56820) / 6
LCM(56814,56820) = 3228171480 / 6
LCM(56814,56820) = 538028580

Least Common Multiple (LCM) of 56814 and 56820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56814 and 56820. First we will calculate the prime factors of 56814 and 56820.

Prime Factorization of 56814

Prime Factorization of 56820

Now multiplying the highest exponent prime factors to calculate the LCM of 56814 and 56820.

LCM(56814,56820) = 2² × 3¹ × 17¹ × 557¹ × 5¹ × 947¹
LCM(56814,56820) = 538028580